簡約 (3.4617x10^2)(5.61x^{-4})

解

簡約

(3.4617 x 1 0^{2}) (5.61 x^{- 4})

\frac{19420137}{10000 x ^{3}}

解答ステップ

(3.4617 x \cdot 1 0^{2}) (5.61 x^{- 4})

簡素化

3.4617 x \cdot 1 0^{2} : 346.17 x

= 346.17 x \cdot 5.61 x^{- 4}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

x^{- 4} = \frac{1}{x ^{4}}

= 346.17 x \cdot 5.61 \cdot \frac{1}{x ^{4}}

数を乗じる:

346.17 \cdot 5.61 = 1942.0137

= 1942.0137 x \frac{1}{x ^{4}}

分数の規則を適用する:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1942.0137 x \cdot 1}{x ^{4}}

数を乗じる:

1942.0137 \cdot 1 = 1942.0137

= \frac{1942.0137 x}{x ^{4}}

簡素化

\frac{x}{x ^{4}} : \frac{1}{x ^{3}}

= \frac{1942.0137}{x ^{3}}

簡素化

\frac{1942.0137}{x ^{3}} : \frac{19420137}{10000 x ^{3}}

= \frac{19420137}{10000 x ^{3}}